Unit 9: Introduction to Trigonometry (standards and definitions/postulates/theorems)

Resources
Questions (assignment questions or general questions)
Even answers
ThatQuiz.org


Wednesday, June 12th, 2013

We began by doing some circle practice problems here. Those who finished early did some more practice here (first 8 links under Circles). We spent a little more time going over the trigonometry test (especially the Law of Sines and Cosines). We ended class with some quadrant practice, point plotting practice, and some line graphing practice. The solutions to the final exam practice are available here.


Monday, June 10th, 2013

We began class by doing some volume revision on ThatQuiz. We then corrected the Unit 9 test together. We spent the remainder of the class correcting the Unit 7 Challenge Problems in small groups.

IW:


Thursday, June 6th, 2013

Today was the test day.

IW:


Tuesday, June 4th, 2013

We began class with some Law of Cosines revision. We then discussed the IW and spent the remainder of the period reviewing for our Unit 9 test.

IW #6:
  • Revision sheet from class (be sure to check your answers using the Even Answer link above)
  • p. 519/15-19
  • Be sure IW #1 to #6 are done, checked, and corrected and stapled with the cover page for next class.


Friday, May 31st, 2013

We began class by doing some group trig problems. We gave Mr. O'Brien feedback and then went over the quiz and the IW. We ended by learning how to find the missing parts of any acute angled triangle: Law of Sines and Law of Cosines.

IW #5:
  • p. 512/11, 15-25 odd, 30, 32, 35


Wednesday, May 29th, 2013

We then went over the IW before doing the quiz. The answer sheet for the quiz is here.

IW #4:
  • p. 496/29-39 odd
  • p. 504/37-41 odd, 45


Friday, May 24th, 2013

We began class with some special right triangle revision and some trig revision and more trig revision. The Special Right Triangle revision hints connected our previous work with the golden triangles to our new trig ratios. We discussed several ways to think about each question. We then did a little card matching activity before discussing the IW (including how to find sides, angles, and working with degrees/minutes/seconds). We finished with a brief explanation of angles of elevation and depression.

IW #3:
  • Make sure you're proficient on the three Khan Academy links from class
  • p. 489/27-37 odd
  • Quiz on Trig next class


Wednesday, May 22nd, 2013

We began with a corny riddle warm-up and then discussed the Unit 8 test. We talked through IW #1 and then worked in small groups on some trig problems. By the end of class, we knew how to use trig ratios to find the missing sides or angles in right triangles.

IW #2:
  • Finish sheet from class (to be submitted on test day!)
  • p. 489/21, 25
  • p. 496/23, 27
  • p. 504/21


Monday, May 20th, 2013

We explored some similar triangles today in class to come up with three trig ratios.

IW #1:
  • Please answer these questions (use our investigation, your logical mind, the internet, etc.):
  1. As an angle increases towards 90°, what happens to each of the three trig ratios?
  2. What happens at 90°? i.e. what is sin90°, cos90°, and tan90°?
  3. What do you get when you square the sine of any angle and add it to the square of the cosine of any angle? Why do you get this value?
  4. How is the sine of an angle divided by the cosine of the same angle compared to the tangent of that angle? Why does this relationship hold?
  5. There are actually six trig ratios. What are the other three and how do they relate to sine, cosine, and tangent?
  6. Why do the six trig ratios have the names that they do?
  7. The trig ratios can be graphed on an x-y plane by letting x be the angle and y be the ratio. Use GeoGebra to graph y = sin(x), y = cos(x) and y = tan(x) and sketch these graphs on your IW sheet.


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